Open Access
2000 On the rate of convergence of the Bézier type operators
Paulina Pych-Taberska
Funct. Approx. Comment. Math. 28: 201-209 (2000). DOI: 10.7169/facm/1538186696

Abstract

The rate of pointwise convergence of the Bézier type modification of some discrete Feller operators of locally bounded functions is estimated. In the general theorems the Chanturija modulus of variation is used. In particular, corresponding estimates for functions of bounded $p$-th power variation are deduced.

Dedication

Dedicated to Włodzimierz Staś on the occasion of his 75th birthday

Citation

Download Citation

Paulina Pych-Taberska. "On the rate of convergence of the Bézier type operators." Funct. Approx. Comment. Math. 28 201 - 209, 2000. https://doi.org/10.7169/facm/1538186696

Information

Published: 2000
First available in Project Euclid: 29 September 2018

zbMATH: 0979.41011
MathSciNet: MR1824005
Digital Object Identifier: 10.7169/facm/1538186696

Subjects:
Primary: 41A25 , 41A35
Secondary: 41A80

Keywords: $p$-th power variation , Bézier type operator , modulus of variation , rate of convergence

Rights: Copyright © 2000 Adam Mickiewicz University

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